Question

identify each pair of angles as corresponding, alternate interior, alternate exterior, consecutive interior, vertical, or linear pair.

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. Alternate interior angles are between the two lines and on opposite sides of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Consecutive interior angles are between the two lines and on the same side of the transversal. Vertical angles are opposite each other when two lines intersect. Linear pairs are adjacent and supplementary.

Step2: Analyze each pair

1. Corresponding angles. They are in the same relative position at the intersections of the transversal and the two parallel lines.
2. Alternate interior angles. They are between the two lines and on opposite sides of the transversal.
3. Vertical angles. They are opposite each other at the intersection of the lines.
4. Linear pair. They are adjacent and form a straight - line.
5. Alternate exterior angles. They are outside the two lines and on opposite sides of the transversal.
6. Consecutive interior angles. They are between the two lines and on the same side of the transversal.
7. Corresponding angles. They are in the same relative position at the intersections of the transversal and the two parallel lines.
8. Alternate interior angles. They are between the two lines and on opposite sides of the transversal.
9. Corresponding angles. They are in the same relative position at the intersections of the transversal and the two parallel lines.
10. Alternate exterior angles. They are outside the two lines and on opposite sides of the transversal.
11. Consecutive interior angles. They are between the two lines and on the same side of the transversal.
12. Corresponding angles. They are in the same relative position at the intersections of the transversal and the two parallel lines.

Answer:

1. Corresponding angles
2. Alternate interior angles
3. Vertical angles
4. Linear pair
5. Alternate exterior angles
6. Consecutive interior angles
7. Corresponding angles
8. Alternate interior angles
9. Corresponding angles
10. Alternate exterior angles
11. Consecutive interior angles
12. Corresponding angles